Peter De Maesschalck

928 total citations
46 papers, 578 citations indexed

About

Peter De Maesschalck is a scholar working on Statistical and Nonlinear Physics, Geometry and Topology and Computer Networks and Communications. According to data from OpenAlex, Peter De Maesschalck has authored 46 papers receiving a total of 578 indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Statistical and Nonlinear Physics, 30 papers in Geometry and Topology and 11 papers in Computer Networks and Communications. Recurrent topics in Peter De Maesschalck's work include Advanced Differential Equations and Dynamical Systems (30 papers), stochastic dynamics and bifurcation (22 papers) and Quantum chaos and dynamical systems (20 papers). Peter De Maesschalck is often cited by papers focused on Advanced Differential Equations and Dynamical Systems (30 papers), stochastic dynamics and bifurcation (22 papers) and Quantum chaos and dynamical systems (20 papers). Peter De Maesschalck collaborates with scholars based in Belgium, United Kingdom and France. Peter De Maesschalck's co-authors include Freddy Dumortier, Robert Roussarie, Nikola Popović, Ekaterina Kutafina, Martin Wechselberger, Mathieu Desroches, M.J. Álvarez, R. Prohens, Joan Torregrosa and Thai Son Doan and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Transactions of the American Mathematical Society and Applied Mathematics and Computation.

In The Last Decade

Peter De Maesschalck

42 papers receiving 534 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Peter De Maesschalck Belgium 14 398 318 216 129 47 46 578
Paulo Ricardo da Silva Brazil 12 347 0.9× 346 1.1× 132 0.6× 73 0.6× 11 0.2× 38 509
Н. Х. Розов Russia 13 465 1.2× 108 0.3× 428 2.0× 83 0.6× 37 0.8× 143 814
С. Д. Глызин Russia 12 299 0.8× 66 0.2× 311 1.4× 64 0.5× 21 0.4× 127 514
Wiesław Krawcewicz Canada 13 189 0.5× 236 0.7× 189 0.9× 144 1.1× 35 0.7× 65 696
Hong Zang China 11 244 0.6× 223 0.7× 142 0.7× 205 1.6× 123 2.6× 21 502
A. Yu. Kolesov Russia 12 416 1.0× 86 0.3× 405 1.9× 75 0.6× 31 0.7× 177 770
Mingshu Peng China 16 494 1.2× 71 0.2× 243 1.1× 87 0.7× 14 0.3× 46 734
R. Prohens Spain 14 330 0.8× 467 1.5× 79 0.4× 83 0.6× 11 0.2× 38 545
Frederick R. Marotto United States 7 456 1.1× 133 0.4× 256 1.2× 119 0.9× 37 0.8× 8 668
Isabel S. Labouriau Portugal 13 333 0.8× 122 0.4× 242 1.1× 44 0.3× 12 0.3× 38 481

Countries citing papers authored by Peter De Maesschalck

Since Specialization
Citations

This map shows the geographic impact of Peter De Maesschalck's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Peter De Maesschalck with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Peter De Maesschalck more than expected).

Fields of papers citing papers by Peter De Maesschalck

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Peter De Maesschalck. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Peter De Maesschalck. The network helps show where Peter De Maesschalck may publish in the future.

Co-authorship network of co-authors of Peter De Maesschalck

This figure shows the co-authorship network connecting the top 25 collaborators of Peter De Maesschalck. A scholar is included among the top collaborators of Peter De Maesschalck based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Peter De Maesschalck. Peter De Maesschalck is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Maesschalck, Peter De & Joan Torregrosa. (2023). Critical periods in planar polynomial centers near a maximum number of cusps. Journal of Differential Equations. 380. 181–197. 1 indexed citations
2.
Maesschalck, Peter De, Freddy Dumortier, & Robert Roussarie. (2023). Side-Comparison for Transition Maps in Multi-Layer Canard Problems. Regular and Chaotic Dynamics. 28(4-5). 763–780.
3.
Maesschalck, Peter De, Freddy Dumortier, & Robert Roussarie. (2021). Canard Cycles. HAL (Le Centre pour la Communication Scientifique Directe). 14 indexed citations
4.
Maesschalck, Peter De, et al.. (2020). Intrinsic determination of the criticality of a slow-fast Hopf\n bifurcation. Document Server@UHasselt (UHasselt). 2 indexed citations
5.
Maesschalck, Peter De, et al.. (2019). Gevrey asymptotic properties of slow manifolds. Nonlinearity. 33(1). 341–387. 6 indexed citations
6.
Álvarez, M.J., B. Coll, Peter De Maesschalck, & R. Prohens. (2019). Asymptotic lower bounds on Hilbert numbers using canard cycles. Journal of Differential Equations. 268(7). 3370–3391. 5 indexed citations
7.
Maesschalck, Peter De, et al.. (2014). Partial linearization for planar nonautonomous differential equations. Journal of Differential Equations. 258(5). 1618–1652. 2 indexed citations
8.
Maesschalck, Peter De, et al.. (2014). Cyclicity of a fake saddle inside the quadratic vector fields. Journal of Differential Equations. 258(2). 588–620. 2 indexed citations
9.
Maesschalck, Peter De, et al.. (2013). Limit cycles in slow-fast codimension 3 saddle and elliptic bifurcations. Journal of Differential Equations. 255(11). 4012–4051. 18 indexed citations
10.
Maesschalck, Peter De, Freddy Dumortier, & Robert Roussarie. (2011). Cyclicity of common slow–fast cycles. Indagationes Mathematicae. 22(3-4). 165–206. 33 indexed citations
11.
Maesschalck, Peter De & Nikola Popović. (2011). Gevrey properties of the asymptotic critical wave speed in a family of scalar reaction–diffusion equations. Journal of Mathematical Analysis and Applications. 386(2). 542–558. 1 indexed citations
12.
Maesschalck, Peter De & Freddy Dumortier. (2010). Classical Liénard equations of degree n⩾6 can have [n−12]+2 limit cycles. Journal of Differential Equations. 250(4). 2162–2176. 47 indexed citations
13.
Maesschalck, Peter De & Freddy Dumortier. (2010). Slow–fast Bogdanov–Takens bifurcations. Journal of Differential Equations. 250(2). 1000–1025. 25 indexed citations
14.
Maesschalck, Peter De & Freddy Dumortier. (2010). Bifurcations of multiple relaxation oscillations in polynomial Liénard equations. Proceedings of the American Mathematical Society. 139(6). 2073–2085. 10 indexed citations
15.
Maesschalck, Peter De & Freddy Dumortier. (2009). Singular perturbations and vanishing passage through a turning point. Journal of Differential Equations. 248(9). 2294–2328. 19 indexed citations
16.
Maesschalck, Peter De, et al.. (2008). Gevrey and analytic local models for families of vector fields. Discrete and Continuous Dynamical Systems - B. 10(2/3, September). 377–400. 8 indexed citations
17.
Maesschalck, Peter De, et al.. (2008). Gevrey normal forms of vector fields with one zero eigenvalue. Journal of Mathematical Analysis and Applications. 344(1). 301–321. 7 indexed citations
18.
Maesschalck, Peter De. (2007). Gevrey properties of real planar singularly perturbed systems. Journal of Differential Equations. 238(2). 338–365. 4 indexed citations
19.
Maesschalck, Peter De & Freddy Dumortier. (2006). The period function of classical Liénard equations. Journal of Differential Equations. 233(2). 380–403. 19 indexed citations
20.
Maesschalck, Peter De & Freddy Dumortier. (2005). Time analysis and entry–exit relation near planar turning points. Journal of Differential Equations. 215(2). 225–267. 57 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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